Q.

The domain of the function f(x)=cos⁡log⁡16−x23−x is

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a

(– 4, 4)

b

(– 4, 3)

c

(– ∞, – 4) ∪ (3, ∞)

d

None of these

answer is B.

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Detailed Solution

f (x) is defined if 16−x23−x>0⇒16−x2>0 and 3−x>0⇒(x−4)(x+4)<0 and x<3⇒−4
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The domain of the function f(x)=cos⁡log⁡16−x23−x is